Airy-based equilibrium mesh-free method for static limit analysis of plane problems
This paper presents a numerical procedure for lower bound limit analysis of plane problems governed by von Mises yield criterion. The stress fields are calculated based on the Airy function which is approximated using the moving least squares technique. With the use of the Airy-based equilibrium me...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House for Science and Technology
2016-09-01
|
| Series: | Vietnam Journal of Mechanics |
| Subjects: | |
| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/5961 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850206964058947584 |
|---|---|
| author | Canh V. Le Phuc L. H. Ho Hoa T. Nguyen |
| author_facet | Canh V. Le Phuc L. H. Ho Hoa T. Nguyen |
| author_sort | Canh V. Le |
| collection | DOAJ |
| description |
This paper presents a numerical procedure for lower bound limit analysis of plane problems governed by von Mises yield criterion. The stress fields are calculated based on the Airy function which is approximated using the moving least squares technique. With the use of the Airy-based equilibrium mesh-free method, equilibrium equations are ensured to be automatically satisfied a priori, and the size of the resulting optimization problem is reduced significantly. Various plane strain and plane stress with arbitrary geometries and boundary conditions are examined to illustrate the performance of the proposed procedure.
|
| format | Article |
| id | doaj-art-dbb183d5ed324a2cb9e44f9774fe5b82 |
| institution | OA Journals |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2016-09-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-dbb183d5ed324a2cb9e44f9774fe5b822025-08-20T02:10:39ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822016-09-0138310.15625/0866-7136/38/3/5961Airy-based equilibrium mesh-free method for static limit analysis of plane problemsCanh V. Le0Phuc L. H. Ho1Hoa T. Nguyen2International University, Vietnam National University - Ho Chi Minh City, VietnamHo Chi Minh City University of Technology and Education, VietnamHo Chi Minh City Open University, Vietnam This paper presents a numerical procedure for lower bound limit analysis of plane problems governed by von Mises yield criterion. The stress fields are calculated based on the Airy function which is approximated using the moving least squares technique. With the use of the Airy-based equilibrium mesh-free method, equilibrium equations are ensured to be automatically satisfied a priori, and the size of the resulting optimization problem is reduced significantly. Various plane strain and plane stress with arbitrary geometries and boundary conditions are examined to illustrate the performance of the proposed procedure. https://vjs.ac.vn/index.php/vjmech/article/view/5961Limit analysisequilibrium mesh-free methodsecond-order cone programmingAiry function |
| spellingShingle | Canh V. Le Phuc L. H. Ho Hoa T. Nguyen Airy-based equilibrium mesh-free method for static limit analysis of plane problems Vietnam Journal of Mechanics Limit analysis equilibrium mesh-free method second-order cone programming Airy function |
| title | Airy-based equilibrium mesh-free method for static limit analysis of plane problems |
| title_full | Airy-based equilibrium mesh-free method for static limit analysis of plane problems |
| title_fullStr | Airy-based equilibrium mesh-free method for static limit analysis of plane problems |
| title_full_unstemmed | Airy-based equilibrium mesh-free method for static limit analysis of plane problems |
| title_short | Airy-based equilibrium mesh-free method for static limit analysis of plane problems |
| title_sort | airy based equilibrium mesh free method for static limit analysis of plane problems |
| topic | Limit analysis equilibrium mesh-free method second-order cone programming Airy function |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/5961 |
| work_keys_str_mv | AT canhvle airybasedequilibriummeshfreemethodforstaticlimitanalysisofplaneproblems AT phuclhho airybasedequilibriummeshfreemethodforstaticlimitanalysisofplaneproblems AT hoatnguyen airybasedequilibriummeshfreemethodforstaticlimitanalysisofplaneproblems |